A community for students.
Here's the question you clicked on:
 0 viewing
pottersheep
 2 years ago
Grade 12 math help please!! For what value of b will the polynomial p(x) = 2x^3 + bx^2  5x +2 have the same remainder when it is divided by x  2 and x+1?
pottersheep
 2 years ago
Grade 12 math help please!! For what value of b will the polynomial p(x) = 2x^3 + bx^2  5x +2 have the same remainder when it is divided by x  2 and x+1?

This Question is Closed

TAKEBACKMATH
 2 years ago
Best ResponseYou've already chosen the best response.0okay I will show you:

TAKEBACKMATH
 2 years ago
Best ResponseYou've already chosen the best response.0sorry, it too late for me I will hand this over to lonesome else?

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1Here it goes~ Have you learnt remainder theorem yet?

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1@pottersheep Are you there??

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.1Yes sorry, we have!

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1So, let R be the remainder when p(x) is divided by x2. By remainder theorem, what would you get? I mean p(_) = ...?

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.1So i'd sub in 2 for x

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.1Sorry what do I do with the b though?

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1Right, so for p(2), you get p(2) = 4b  24 = R, agree? (By remainder theorem, p(a) = R , when p(x) is divided by xa)

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1And what is the remainder when p(x) is divided by x+1 ?

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1Not really.. Remainder = p(1) = 2(1)^3 + b(1)^2  5(1) +2 = ...?

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.1Opps, sorry! I subbed in 1!

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1Yes. Note that the remainder is p(x) = R when p(x) is divided by xa. Now, p(x) is divided by x+1, so a = 1 in the case. [ x(1) = x+1]

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1From the question, the polynomial p(x) = 2x^3 + bx^2  5x +2 have the same remainder when it is divided by x  2 and x+1. So, equate the two remainder you got and solve b. Got it?

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.1Ohhhhhhhhh, so make them equal to each other?? Yes I get it, thank you!!!!!!

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1Yes. Since they have the SAME remainder! You're welcome :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.